Answer:
Step-by-step explanation:
Given: MN ≅ MA
ME ≅ MR
Prove: ∠E ≅ ∠R
From the given diagram,
YN ≅ YA
EY ≅ RY
<EMA = <RMN (right angle property)
EA = EY + YA (addition property of a line)
NR = YN + RY (addition property of a line)
EA ≅ NR (congruent property)
ΔEMA ≅ ΔRMN (Side-Side-Side, SSS, congruence property)
<MNR ≅ MAE (angle property of congruent triangles)
Therefore,
<E ≅ <R (angle property of congruent triangles)
Answer:
It is 40 degrees.
Step-by-step explanation:
You can start off by understanding this is not a right angle (exactly 90 degrees, think of a corner of a room) or and obtuse angle (more than 90 degrees, bigger than a right angle). With that information we know that it is an acute angle (less than 90 degrees, smaller than a right angle). With that we have 40 and 50 degrees left. When you compare the angle with the 40 degrees one, it is the same size. The angle 1 is a reflection of the triangle with the 40 degrees angle. Hope this helps :)
Answer:
Frankie have 6 coins
Step-by-step explanation:
For every 5 coins Carmen gets ,she gives 2 to her brother Frankie
Out of 5 coins, Carmen given 2 to her brother Frankie
So Carmen has 3 coins and Frankie has 2 coins
Ratio of coins , Frankie to Carmen is
2: 3
We need to find the number of coins Frankie has if Carmen has 9 coins
ratio of Frankie to Carmen is x : 9
Now make a proportion and solve for x
Cross multiply it
2*9 = 3*x
18 = 3x
Now divide both sides by 3
so x= 6
Frankie have 6 coins
Step-by-step explanation:
if they are parralel it means gradient is the same
finding equation we find another point which is (x,y)
therefore y - 2/ x - 4 should be equal to 2/3.
y - 2 = 2/3(x - 4)
y - 2 = 2/3x - 8/3
y = 2/3x - 8/3 + 2
Less then 5 kilometers and more then 1,200 meters obv
